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Abstract: Two families of exact simple solutions of Einstein field equations forinhomogeneous stiff cosmologies are presented. The method to obtain thesolutions is based on the introduction of auxiliary functions in order to castthe Einstein equations in such a way that can be explicitly integrated. Now,despite of the equations are mathematically equivalent to the equationsobtained when the source of matter is a scalar field, is worth to mention thatthe source that we consider is not a scalar field but a perfect fluid with thestiff equation of state. The obtained solutions are expressed in terms ofsimple functions of the used coordinates and two families of particularsolutions are considered. The geometrical and kinematical properties of thesolutions are then analyzed and the parameters are restricted in order to havea physically acceptable behavior. The two particular solutions are of thePetrov type I, the first one being regular everywhere whereas the second onepresents a big-bang singularity. Now, for a particular value of one of theparameters, the second particular solution is a vacuum solution of the BianchiI type that reduces to the Kasner solution.



Autor: Guillermo A. Gonzalez, Fabio D. Lora, Jenrry A. Jaimes Universidad Industrial de Santander

Fuente: https://arxiv.org/







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